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Finding the Fourth Proportional to 1,333.56, 2,000.25 and 409.03

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Solution

The fourth proportional to 1,333.56, 2,000.25 and 409.03 is: 613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.56 : 2,000.25 = 409.03 : x
  2. Step 2: Convert to fraction form
    1,333.56/2,000.25 = 409.03/x
  3. Step 3: Cross multiply
    1,333.56x = 2,000.25 × 409.03
  4. Step 4: Simplify right side
    1,333.56x = 818,162.26
  5. Step 5: Solve for x
    x = 818,162.26/1,333.56
  6. Step 6: Final answer
    x = 613.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.